Isn't "koupe" used to translate the expression "I don't mean to interrupt"?

Yes. If you want to cut into a conversation and bring in your ideas or something, you'll say: San koupe pawòl ou... (which means I don't mean to cut through your words, but...)

San koupe pawòl ou, m panse ke se pa vre.

Sorry to interrupt, but I think you're wrong.

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